Non-Transitive Dice (Trick)

thingiverse

A Trick Dice Game Based on Maths and Probability A fun dice game to play and cheat your friends using maths, probability, and the laws of average. Instructions Modeled in Rhino 3D, printed on a Printrbot and a RapMan Touch. Follow these steps: print four identical dice in line with the original CAD file. Have your opponent choose one of the four dice, while you secretly pick another. Roll both dice at the same time multiple times to see who wins each throw, thus winning that particular throw. For 'The Best of Ten Throws', play this way: invite your opponent to pick another die, probably their best choice, allowing you to select another for yourself. Your longer-term advantage in such games will prevail again and again, with every choice, ensuring your victory. In ten or more throws, you will always emerge victorious, regardless of the dice your opponent chooses. The Trick: Arrange the four printed dice in a circular manner by displaying their highest faces upwards. Now, let's name them based on their numbers - those having 6s and 2s are called '6-2', then '5-1' is next, followed by '4-0' and lastly '3-3'. Then we proceed clockwise. Starting from the top die with the 6-2 arrangement (having the faces six upwards on the left and two downwards on the right), this specific die can be said to have a winning combination that beats '5-1', which is in its position, followed by another die beating '4-0' that was beaten earlier and ultimately beats '3-3'. Surprisingly! Here we've established that your odds favor you for having more victories. Your 66% win probability will ensure your wins in every case where someone chooses a random option - this way it serves as part of the clever trick that is to your benefit in playing against friends or anyone interested, giving them limited room to beat your skill and understanding.